288832800 has 144 divisors (see below), whose sum is σ = 947564352. Its totient is φ = 76416000.

The previous prime is 288832793. The next prime is 288832811. The reversal of 288832800 is 8238882.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362002 + ... + 362798.

It is an arithmetic number, because the mean of its divisors is an integer number (6580308).

Almost surely, 2^288832800 is an apocalyptic number.

288832800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473782176).

288832800 is an abundant number, since it is smaller than the sum of its proper divisors (658731552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288832800 is a wasteful number, since it uses less digits than its factorization.

288832800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 288832800 is about 16995.0816414632. The cubic root of 288832800 is about 661.0213754080.

The spelling of 288832800 in words is "two hundred eighty-eight million, eight hundred thirty-two thousand, eight hundred".